The dynamics and rheology of a dilute suspension of periodically forced neutrally buoyant spherical particles in a quiescent Newtonian fluid at low Reynolds numbers
IR@C-MMACS: CSIR-Centre for Mathematical Modelling and Computer Simulation, Bangalore
View Archive Info| Field | Value | |
| Title |
The dynamics and rheology of a dilute suspension
of periodically forced neutrally buoyant spherical
particles in a quiescent Newtonian fluid at low
Reynolds numbers
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| Creator |
T R, Ramamohan
K, Madhukar |
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| Subject |
Computational Fluid dynamics
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| Description |
We study the effects of both convective and unsteady inertia on the dynamics
and rheology of a dilute suspension of periodically forced neutrally buoyant
spherical particles, at low Reynolds numbers, in a quiescent Newtonian fluid.
The inclusion of inertia results in additional terms in the equation governing
the dynamics of the particle that represent a fading memory of the entire history
of the particle motion. The inclusion of convective inertia in the low Reynolds
number limit makes the memory term nonlinear. Several tests were performed
to show that the results presented in this paper are physically reasonable and
correct. A perturbation analysis of the problem yields strong evidence that the
results of our simulations are correct. It is observed that there is a preferred
direction in this system which manifests itself in the properties of the solution.
This preferred direction is identified as the direction of the initial motion of
the particle. We present here results on the behavior of various parameters
with respect to Reynolds numbers and the amplitude of the periodic force.
These include phase-space plots between particle displacement and particle
velocity and the variation of a rheological parameter, namely a ‘normal stress’
with respect to Reynolds number and the amplitude of the periodic force. We
believe that our results may be technologically important since the rheological
parameter depends strongly on controllable parameters such as the Reynolds
number and the amplitude of the periodic force. Further, this system is one of
the simplest systems whose rheology shows non-Newtonian behavior, such as
the presence of a normal stress. In addition, this system represents a physically
realizable system for experimentally testing the frameworks developed to
calculate the collective behavior of systems of oscillators with memory.
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| Publisher |
The Japan Society of Fluid Mechanics and IOP Publishing Ltd
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| Date |
2011-06-29
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| Type |
Article
PeerReviewed |
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| Format |
application/pdf
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| Identifier |
http://cir.cmmacs.ernet.in/94/1/fdr.pdf
T R, Ramamohan and K, Madhukar (2011) The dynamics and rheology of a dilute suspension of periodically forced neutrally buoyant spherical particles in a quiescent Newtonian fluid at low Reynolds numbers. Fluid Dynamics Research, 43 (4). pp. 1-21. |
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| Relation |
http://iopscience.iop.org
http://cir.cmmacs.ernet.in/94/ |
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